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Simplifying -8 + (-5y) = 12 + (-9y) Solving -8 + (-5y) = 12 + (-9y) Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '(9y)' to each side of the equation. -8 + (-5y) + (9y) = 12 + (-9y) + (9y) Combine like terms: (-5y) + (9y) = 4y -8 + 4y = 12 + (-9y) + (9y) Combine like terms: (-9y) + (9y) = 0 -8 + 4y = 12 + 0 -8 + 4y = 12 Add '8' to each side of the equation. -8 + 8 + 4y = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 12 + 8 4y = 12 + 8 Combine like terms: 12 + 8 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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